Colorado was in front 8-7 heading into the ninth and Rafael Betancourt (1-2) came on in a bid for his 12th save of the season. Instead, he suffered his second blown save opportunity.
Coco Crisp led off the ninth with a single, went to second on a sacrifice, stole third and scored the tying run on a sacrifice fly from Collin Cowgill.
Seth Smith then came through with a two-out double and pinch-hitter Josh Reddick was walked intentionally before Inge doubled home both runners.
The comeback made a winner out of Jerry Blevins (1-0), who worked the eighth inning and claimed his first victory since 2010. He has a 4-5 career record in 174 appearances over six seasons.
Ryan Cook allowed a hit in the bottom of the ninth on his way to his second save.